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Chapter 7: Problem 7

A rectangle has a perimeter of 75 meters and a length of 10 meters. Calculate its width.

Short Answer

Expert verified
Answer: The width of the rectangle is 27.5 meters.

Step by step solution

01

Write down the formula for the perimeter of a rectangle

The formula for the perimeter of a rectangle is P = 2L + 2W.
02

Substitute the given values into the formula

We are given the perimeter P = 75 meters and the length L = 10 meters, so we can substitute these values into the formula: 75 = 2(10) + 2W
03

Simplify the equation

Now, we simplify the equation by performing the multiplication: 75 = 20 + 2W
04

Solve for W (the width)

To solve for W, we need to isolate it on one side of the equation. We do this by subtracting 20 from both sides of the equation: 75 - 20 = 20 + 2W - 20 55 = 2W Now, we need to divide both sides by 2 to get W by itself: 55 / 2 = 2W / 2 27.5 = W
05

State the answer

The width of the rectangle is 27.5 meters.

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